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220152114 = 23371371631
BaseRepresentation
bin11010001111101…
…00000100110010
3120100020212221000
431013310010302
5422324331424
633502342430
75312155620
oct1507640462
9510225830
10220152114
111032a75a6
126188aa16
13367c1a30
142134a510
15144da3c9
hexd1f4132

220152114 has 128 divisors (see below), whose sum is σ = 611573760. Its totient is φ = 57153600.

The previous prime is 220152103. The next prime is 220152157. The reversal of 220152114 is 411251022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348579 + ... + 349209.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2220152114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220152114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305786880).

220152114 is an abundant number, since it is smaller than the sum of its proper divisors (391421646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220152114 is a wasteful number, since it uses less digits than its factorization.

220152114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 220152114 is about 14837.5238500230. The cubic root of 220152114 is about 603.8201754779.

The spelling of 220152114 in words is "two hundred twenty million, one hundred fifty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 71 78 91 117 126 142 182 189 213 234 273 351 378 426 497 546 631 639 702 819 923 994 1262 1278 1491 1638 1846 1893 1917 2457 2769 2982 3786 3834 4417 4473 4914 5538 5679 6461 8203 8307 8834 8946 11358 12922 13251 13419 16406 16614 17037 19383 24609 24921 26502 26838 34074 38766 39753 44801 49218 49842 57421 58149 73827 79506 89602 114842 116298 119259 134403 147654 172263 174447 221481 238518 268806 313607 344526 348894 403209 442962 516789 582413 627214 806418 940821 1033578 1164826 1209627 1550367 1747239 1881642 2419254 2822463 3100734 3494478 4076891 5241717 5644926 8153782 8467389 10483434 12230673 15725151 16934778 24461346 31450302 36692019 73384038 110076057 220152114